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Optimization is a branch of applied mathematics. For example, optimization plays an important role in machine learning, control engineering, financial engineering, and so on. My research field is geometric optimization on Riemannian manifolds, in which we regard constrained optimization problems in the flat Euclidean space or more abstract problems as unconstrained optimization problems on manifolds. This is an interdisciplinary research field that has many applications. I collaborate with researchers in various fields. Still, there are a lot of research areas with which I am not very familiar. Researchers in the Hakubi Center cover various research areas and I am looking forward to communicating with them to deepen my own research as well as develop a new field.